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You can remember how to do this with the acronym TCP OK; T is for tone, where you discuss the expression in the source- is it biased towards a certain side, or trying to persuade? C stands for content, wh...

We are being asked to find the rate of change of radius, dr/dt. We will need to use the chain rule to do this: dV/dt = dV/dr * dr/dt.

We are given that dV/dt is 10cm^3 per second, and differentiati...

y=x²+2x-3

Can solve using quadratic equation. Using the square method to obtain for the square term and x term (x+1)(x+1) = x²+2x+1

Therefore (x+1)(x+1)-4=y

To f...

Simplify i⁴?

We know that i = -1^1/2

Therefore i²=-1

As i⁴=i²xi² 

Then i⁴=-1x-1=1

y = 2x+5

y=x+1

First equate:       2x+5=x+1

Rearrage for x:    2x-x=1-5

Which gives:       x=-4